#@local
gap> START_TEST("small_groups.tst");
gap> 
gap> List(SmallGroup(1,1), Order);
[ 1 ]
gap> List(SmallGroup(2,1), Order);
[ 1, 2 ]
gap> List(SmallGroup(3,1), Order);
[ 1, 3, 3 ]
gap> List(SmallGroup(4,1), Order);
[ 1, 2, 4, 4 ]
gap> List(SmallGroup(4,2), Order);
[ 1, 2, 2, 2 ]
gap> List(SmallGroup(5,1), Order);
[ 1, 5, 5, 5, 5 ]
gap> List(SmallGroup(6,1), Order);
[ 1, 3, 3, 2, 2, 2 ]
gap> List(SmallGroup(6,2), Order);
[ 1, 3, 3, 2, 6, 6 ]
gap> List(SmallGroup(7,1), Order);
[ 1, 7, 7, 7, 7, 7, 7 ]
gap> List(SmallGroup(8,1), Order);
[ 1, 2, 4, 4, 8, 8, 8, 8 ]
gap> List(SmallGroup(8,2), Order);
[ 1, 2, 2, 2, 4, 4, 4, 4 ]
gap> List(SmallGroup(8,3), Order);
[ 1, 2, 2, 2, 2, 2, 4, 4 ]
gap> List(SmallGroup(8,4), Order);
[ 1, 2, 4, 4, 4, 4, 4, 4 ]
gap> List(SmallGroup(8,5), Order);
[ 1, 2, 2, 2, 2, 2, 2, 2 ]
gap> List(SmallGroup(9,1), Order);
[ 1, 3, 3, 9, 9, 9, 9, 9, 9 ]
gap> List(SmallGroup(9,2), Order);
[ 1, 3, 3, 3, 3, 3, 3, 3, 3 ]
gap> List(SmallGroup(10,1), Order);
[ 1, 5, 5, 5, 5, 2, 2, 2, 2, 2 ]
gap> List(SmallGroup(10,2), Order);
[ 1, 5, 5, 5, 5, 2, 10, 10, 10, 10 ]
gap> List(SmallGroup(11,1), Order);
[ 1, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11 ]
gap> List(SmallGroup(12,1), Order);
[ 1, 3, 3, 2, 6, 6, 4, 4, 4, 4, 4, 4 ]
gap> List(SmallGroup(12,2), Order);
[ 1, 2, 3, 6, 3, 6, 4, 4, 12, 12, 12, 12 ]
gap> List(SmallGroup(12,3), Order);
[ 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3 ]
gap> List(SmallGroup(12,4), Order);
[ 1, 3, 3, 2, 6, 6, 2, 2, 2, 2, 2, 2 ]
gap> List(SmallGroup(12,5), Order);
[ 1, 3, 3, 2, 6, 6, 2, 6, 6, 2, 6, 6 ]
gap> List(SmallGroup(13,1), Order);
[ 1, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13 ]
gap> List(SmallGroup(14,1), Order);
[ 1, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2 ]
gap> List(SmallGroup(14,2), Order);
[ 1, 7, 7, 7, 7, 7, 7, 2, 14, 14, 14, 14, 14, 14 ]
gap> List(SmallGroup(15,1), Order);
[ 1, 5, 5, 5, 5, 3, 15, 15, 15, 15, 3, 15, 15, 15, 15 ]
gap> List([1..2000], NrSmallGroups);
[ 1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 
  2, 2, 5, 4, 1, 4, 1, 51, 1, 2, 1, 14, 1, 2, 2, 14, 1, 6, 1, 4, 2, 2, 1, 52, 
  2, 5, 1, 5, 1, 15, 2, 13, 2, 2, 1, 13, 1, 2, 4, 267, 1, 4, 1, 5, 1, 4, 1, 
  50, 1, 2, 3, 4, 1, 6, 1, 52, 15, 2, 1, 15, 1, 2, 1, 12, 1, 10, 1, 4, 2, 2, 
  1, 231, 1, 5, 2, 16, 1, 4, 1, 14, 2, 2, 1, 45, 1, 6, 2, 43, 1, 6, 1, 5, 4, 
  2, 1, 47, 2, 2, 1, 4, 5, 16, 1, 2328, 2, 4, 1, 10, 1, 2, 5, 15, 1, 4, 1, 
  11, 1, 2, 1, 197, 1, 2, 6, 5, 1, 13, 1, 12, 2, 4, 2, 18, 1, 2, 1, 238, 1, 
  55, 1, 5, 2, 2, 1, 57, 2, 4, 5, 4, 1, 4, 2, 42, 1, 2, 1, 37, 1, 4, 2, 12, 
  1, 6, 1, 4, 13, 4, 1, 1543, 1, 2, 2, 12, 1, 10, 1, 52, 2, 2, 2, 12, 2, 2, 
  2, 51, 1, 12, 1, 5, 1, 2, 1, 177, 1, 2, 2, 15, 1, 6, 1, 197, 6, 2, 1, 15, 
  1, 4, 2, 14, 1, 16, 1, 4, 2, 4, 1, 208, 1, 5, 67, 5, 2, 4, 1, 12, 1, 15, 1, 
  46, 2, 2, 1, 56092, 1, 6, 1, 15, 2, 2, 1, 39, 1, 4, 1, 4, 1, 30, 1, 54, 5, 
  2, 4, 10, 1, 2, 4, 40, 1, 4, 1, 4, 2, 4, 1, 1045, 2, 4, 2, 5, 1, 23, 1, 14, 
  5, 2, 1, 49, 2, 2, 1, 42, 2, 10, 1, 9, 2, 6, 1, 61, 1, 2, 4, 4, 1, 4, 1, 
  1640, 1, 4, 1, 176, 2, 2, 2, 15, 1, 12, 1, 4, 5, 2, 1, 228, 1, 5, 1, 15, 1, 
  18, 5, 12, 1, 2, 1, 12, 1, 10, 14, 195, 1, 4, 2, 5, 2, 2, 1, 162, 2, 2, 3, 
  11, 1, 6, 1, 42, 2, 4, 1, 15, 1, 4, 7, 12, 1, 60, 1, 11, 2, 2, 1, 20169, 2, 
  2, 4, 5, 1, 12, 1, 44, 1, 2, 1, 30, 1, 2, 5, 221, 1, 6, 1, 5, 16, 6, 1, 46, 
  1, 6, 1, 4, 1, 10, 1, 235, 2, 4, 1, 41, 1, 2, 2, 14, 2, 4, 1, 4, 2, 4, 1, 
  775, 1, 4, 1, 5, 1, 6, 1, 51, 13, 4, 1, 18, 1, 2, 1, 1396, 1, 34, 1, 5, 2, 
  2, 1, 54, 1, 2, 5, 11, 1, 12, 1, 51, 4, 2, 1, 55, 1, 4, 2, 12, 1, 6, 2, 11, 
  2, 2, 1, 1213, 1, 2, 2, 12, 1, 261, 1, 14, 2, 10, 1, 12, 1, 4, 4, 42, 2, 4, 
  1, 56, 1, 2, 1, 202, 2, 6, 6, 4, 1, 8, 1, 10494213, 15, 2, 1, 15, 1, 4, 1, 
  49, 1, 10, 1, 4, 6, 2, 1, 170, 2, 4, 2, 9, 1, 4, 1, 12, 1, 2, 2, 119, 1, 2, 
  2, 246, 1, 24, 1, 5, 4, 16, 1, 39, 1, 2, 2, 4, 1, 16, 1, 180, 1, 2, 1, 10, 
  1, 2, 49, 12, 1, 12, 1, 11, 1, 4, 2, 8681, 1, 5, 2, 15, 1, 6, 1, 15, 4, 2, 
  1, 66, 1, 4, 1, 51, 1, 30, 1, 5, 2, 4, 1, 205, 1, 6, 4, 4, 7, 4, 1, 195, 3, 
  6, 1, 36, 1, 2, 2, 35, 1, 6, 1, 15, 5, 2, 1, 260, 15, 2, 2, 5, 1, 32, 1, 
  12, 2, 2, 1, 12, 2, 4, 2, 21541, 1, 4, 1, 9, 2, 4, 1, 757, 1, 10, 5, 4, 1, 
  6, 2, 53, 5, 4, 1, 40, 1, 2, 2, 12, 1, 18, 1, 4, 2, 4, 1, 1280, 1, 2, 17, 
  16, 1, 4, 1, 53, 1, 4, 1, 51, 1, 15, 2, 42, 2, 8, 1, 5, 4, 2, 1, 44, 1, 2, 
  1, 36, 1, 62, 1, 1387, 1, 2, 1, 10, 1, 6, 4, 15, 1, 12, 2, 4, 1, 2, 1, 840, 
  1, 5, 2, 5, 2, 13, 1, 40, 504, 4, 1, 18, 1, 2, 6, 195, 2, 10, 1, 15, 5, 4, 
  1, 54, 1, 2, 2, 11, 1, 39, 1, 42, 1, 4, 2, 189, 1, 2, 2, 39, 1, 6, 1, 4, 2, 
  2, 1, 1090235, 1, 12, 1, 5, 1, 16, 4, 15, 5, 2, 1, 53, 1, 4, 5, 172, 1, 4, 
  1, 5, 1, 4, 2, 137, 1, 2, 1, 4, 1, 24, 1, 1211, 2, 2, 1, 15, 1, 4, 1, 14, 
  1, 113, 1, 16, 2, 4, 1, 205, 1, 2, 11, 20, 1, 4, 1, 12, 5, 4, 1, 30, 1, 4, 
  2, 1630, 2, 6, 1, 9, 13, 2, 1, 186, 2, 2, 1, 4, 2, 10, 2, 51, 2, 10, 1, 10, 
  1, 4, 5, 12, 1, 12, 1, 11, 2, 2, 1, 4725, 1, 2, 3, 9, 1, 8, 1, 14, 4, 4, 5, 
  18, 1, 2, 1, 221, 1, 68, 1, 15, 1, 2, 1, 61, 2, 4, 15, 4, 1, 4, 1, 19349, 
  2, 2, 1, 150, 1, 4, 7, 15, 2, 6, 1, 4, 2, 8, 1, 222, 1, 2, 4, 5, 1, 30, 1, 
  39, 2, 2, 1, 34, 2, 2, 4, 235, 1, 18, 2, 5, 1, 2, 2, 222, 1, 4, 2, 11, 1, 
  6, 1, 42, 13, 4, 1, 15, 1, 10, 1, 42, 1, 10, 2, 4, 1, 2, 1, 11394, 2, 4, 2, 
  5, 1, 12, 1, 42, 2, 4, 1, 900, 1, 2, 6, 51, 1, 6, 2, 34, 5, 2, 1, 46, 1, 4, 
  2, 11, 1, 30, 1, 196, 2, 6, 1, 10, 1, 2, 15, 199, 1, 4, 1, 4, 2, 2, 1, 954, 
  1, 6, 2, 13, 1, 23, 2, 12, 2, 2, 1, 37, 1, 4, 2, 49487365422, 4, 66, 2, 5, 
  19, 4, 1, 54, 1, 4, 2, 11, 1, 4, 1, 231, 1, 2, 1, 36, 2, 2, 2, 12, 1, 40, 
  1, 4, 51, 4, 2, 1028, 1, 5, 1, 15, 1, 10, 1, 35, 2, 4, 1, 12, 1, 4, 4, 42, 
  1, 4, 2, 5, 1, 10, 1, 583, 2, 2, 6, 4, 2, 6, 1, 1681, 6, 4, 1, 77, 1, 2, 2, 
  15, 1, 16, 1, 51, 2, 4, 1, 170, 1, 4, 5, 5, 1, 12, 1, 12, 2, 2, 1, 46, 1, 
  4, 2, 1092, 1, 8, 1, 5, 14, 2, 2, 39, 1, 4, 2, 4, 1, 254, 1, 42, 2, 2, 1, 
  41, 1, 2, 5, 39, 1, 4, 1, 11, 1, 10, 1, 157877, 1, 2, 4, 16, 1, 6, 1, 49, 
  13, 4, 1, 18, 1, 4, 1, 53, 1, 32, 1, 5, 1, 2, 2, 279, 1, 4, 2, 11, 1, 4, 3, 
  235, 2, 2, 1, 99, 1, 8, 2, 14, 1, 6, 1, 11, 14, 2, 1, 1040, 1, 2, 1, 13, 2, 
  16, 1, 12, 5, 27, 1, 12, 1, 2, 69, 1387, 1, 16, 1, 20, 2, 4, 1, 164, 4, 2, 
  2, 4, 1, 12, 1, 153, 2, 2, 1, 15, 1, 2, 2, 51, 1, 30, 1, 4, 1, 4, 1, 1460, 
  1, 55, 4, 5, 1, 12, 2, 14, 1, 4, 1, 131, 1, 2, 2, 42, 3, 6, 1, 5, 5, 4, 1, 
  44, 1, 10, 3, 11, 1, 10, 1, 1116461, 5, 2, 1, 10, 1, 2, 4, 35, 1, 12, 1, 
  11, 1, 2, 1, 3609, 1, 4, 2, 50, 1, 24, 1, 12, 2, 2, 1, 18, 1, 6, 2, 244, 1, 
  18, 1, 9, 2, 2, 1, 181, 1, 2, 51, 4, 2, 12, 1, 42, 1, 8, 5, 61, 1, 4, 1, 
  12, 1, 6, 1, 11, 2, 4, 1, 11720, 1, 2, 1, 5, 1, 112, 1, 52, 1, 2, 2, 12, 1, 
  4, 4, 245, 1, 4, 1, 9, 5, 2, 1, 211, 2, 4, 2, 38, 1, 6, 15, 195, 15, 6, 2, 
  29, 1, 2, 1, 14, 1, 32, 1, 4, 2, 4, 1, 198, 1, 4, 8, 5, 1, 4, 1, 153, 1, 2, 
  1, 227, 2, 4, 5, 19324, 1, 8, 1, 5, 4, 4, 1, 39, 1, 2, 2, 15, 4, 16, 1, 53, 
  6, 4, 1, 40, 1, 12, 5, 12, 1, 4, 2, 4, 1, 2, 1, 5958, 1, 4, 5, 12, 2, 6, 1, 
  14, 4, 10, 1, 40, 1, 2, 2, 179, 1, 1798, 1, 15, 2, 4, 1, 61, 1, 2, 5, 4, 1, 
  46, 1, 1387, 1, 6, 2, 36, 2, 2, 1, 49, 1, 24, 1, 11, 10, 2, 1, 222, 1, 4, 
  3, 5, 1, 10, 1, 41, 2, 4, 1, 174, 1, 2, 2, 195, 2, 4, 1, 15, 1, 6, 1, 889, 
  1, 2, 2, 4, 1, 12, 2, 178, 13, 2, 1, 15, 4, 4, 1, 12, 1, 20, 1, 4, 5, 4, 1, 
  408641062, 1, 2, 60, 36, 1, 4, 1, 15, 2, 2, 1, 46, 1, 16, 1, 54, 1, 24, 2, 
  5, 2, 4, 1, 221, 1, 4, 1, 11, 1, 30, 1, 928, 2, 4, 1, 10, 2, 2, 13, 14, 1, 
  4, 1, 11, 2, 6, 1, 697, 1, 4, 3, 5, 1, 8, 1, 12, 5, 2, 2, 64, 1, 4, 2, 
  10281, 1, 10, 1, 5, 1, 4, 1, 54, 1, 8, 2, 11, 1, 4, 1, 51, 6, 2, 1, 477, 1, 
  2, 2, 56, 5, 6, 1, 11, 5, 4, 1, 1213, 1, 4, 2, 5, 1, 72, 1, 68, 2, 2, 1, 
  12, 1, 2, 13, 42, 1, 38, 1, 9, 2, 2, 2, 137, 1, 2, 5, 11, 1, 6, 1, 21507, 
  5, 10, 1, 15, 1, 4, 1, 34, 2, 60, 2, 4, 5, 2, 1, 1005, 2, 5, 2, 5, 1, 4, 1, 
  12, 1, 10, 1, 30, 1, 10, 1, 235, 1, 6, 1, 50, 309, 4, 2, 39, 7, 2, 1, 11, 
  1, 36, 2, 42, 2, 2, 5, 40, 1, 2, 2, 39, 1, 12, 1, 4, 3, 2, 1, 47937, 1, 4, 
  2, 5, 1, 13, 1, 35, 4, 4, 1, 37, 1, 4, 2, 51, 1, 16, 1, 9, 1, 30, 2, 64, 1, 
  2, 14, 4, 1, 4, 1, 1285, 1, 2, 1, 228, 1, 2, 5, 53, 1, 8, 2, 4, 2, 2, 4, 
  260, 1, 6, 1, 15, 1, 110, 1, 12, 2, 4, 1, 12, 1, 4, 5, 1083553, 1, 12, 1, 
  5, 1, 4, 1, 749, 1, 4, 2, 11, 3, 30, 1, 54, 13, 6, 1, 15, 2, 2, 9, 12, 1, 
  10, 1, 35, 2, 2, 1, 1264, 2, 4, 6, 5, 1, 18, 1, 14, 2, 4, 1, 117, 1, 2, 2, 
  178, 1, 6, 1, 5, 4, 4, 1, 162, 2, 10, 1, 4, 1, 16, 1, 1630, 2, 2, 2, 56, 1, 
  10, 15, 15, 1, 4, 1, 4, 2, 12, 1, 1096, 1, 2, 21, 9, 1, 6, 1, 39, 5, 2, 1, 
  18, 1, 4, 2, 195, 1, 120, 1, 9, 2, 2, 1, 54, 1, 4, 4, 36, 1, 4, 1, 186, 2, 
  2, 1, 36, 1, 6, 15, 12, 1, 8, 1, 4, 5, 4, 1, 241004, 1, 5, 1, 15, 4, 10, 1, 
  15, 2, 4, 1, 34, 1, 2, 4, 167, 1, 12, 1, 15, 1, 2, 1, 3973, 1, 4, 1, 4, 1, 
  40, 1, 235, 11, 2, 1, 15, 1, 6, 1, 144, 1, 18, 1, 4, 2, 2, 2, 203, 1, 4, 
  15, 15, 1, 12, 2, 39, 1, 4, 1, 120, 1, 2, 2, 1388, 1, 6, 1, 13, 4, 4, 1, 
  39, 1, 2, 5, 4, 1, 66, 1, 963 ]
gap> 
gap> 
gap> STOP_TEST( "small_groups.tst", 1);
